In order to keep up with a fast car, you are going to need a fast drone. The GT-R Drone from Nissan is a fast FPV racing drone optimized for speed. It can reach 100 km/h from a standstill in just 1.3 and has a max speed of 185 km/h.
The GT-R Drone has 4 propellers with 2000kV XNova motors and a Sky-Hero quadcopter frame. This video shows James Bowles, a British National Drone Racing champion, piloting it around a 1.2 mile course at Silverstone against a 2017 Nissan GT-R.